<h2>Problem 205</h2>
<div style="color:#666;font-size:80%;">06 September 2008</div><br />
<div class="problem_content">
<p>Peter has nine four-sided (pyramidal) dice, each with faces numbered 1, 2, 3, 4.<br />
Colin has six six-sided (cubic) dice, each with faces numbered 1, 2, 3, 4, 5, 6.</p>

<p>Peter and Colin roll their dice and compare totals: the highest total wins. The result is a draw if the totals are equal.</p>

<p>What is the probability that Pyramidal Pete beats Cubic Colin? Give your answer rounded to seven decimal places in the form 0.abcdefg</p>
</div><br />
